What's the difference between publicity of repos on Bitbucket and Github?

To me, if the task is to see the code, they seem essentially the same — a storages one can checkout from, with a nice-looking web interface to preview the contents.

As for collaboration, DVCS are distributed by their very definition. Sure, clicking on "fork" button on web is easier that "pull; remote add; push" series of commands, but I believe this is completely negligible threshold as compared to actual work.

GitHub is more likely to pass the "dumb HR" test. "Oh a GitHub profile. I have heard of that."

I think one can just write "Git" instead of "GitHub" and point anywhere.